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ALFRED NOBEL UNIVERSITY, DNIPROPETROVSK DEPARTMENT OF ECONOMIC CYBERNETICS AND MODERN INFORMATION TECHNOLOGIES DIPLOMA WORK USE OF OPERATIONAL CALCULUS FOR MODELLING AND STUDYING ECONOMIC PROCESSES Student: Michailo HUDYM Specialty: Economic cybernetics Scientific supervisor: Doctor of Engineering, Full Professor Yu. K. Taranenko Dnipropetrovsk 2014

DIPLOMA WORK USE OF OPERATIONAL CALCULUS FOR MODELLING AND STUDYING ECONOMIC PROCESSES

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DIPLOMA WORK USE OF OPERATIONAL CALCULUS FOR MODELLING AND STUDYING ECONOMIC PROCESSES. Student : Michailo HUDYM Specialty : Economic cybernetics Scientific supervisor : Doctor of Engineering, Full Professor Yu. K. Taranenko. - PowerPoint PPT Presentation

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Page 1: DIPLOMA WORK USE OF OPERATIONAL CALCULUS FOR MODELLING AND STUDYING ECONOMIC PROCESSES

ALFRED NOBEL UNIVERSITY, DNIPROPETROVSK DEPARTMENT OF ECONOMIC CYBERNETICS AND MODERN INFORMATION TECHNOLOGIES

DIPLOMA WORK

USE OF OPERATIONAL CALCULUS FOR MODELLING AND STUDYING ECONOMIC

PROCESSES

Student: Michailo HUDYMSpecialty: Economic cybernetics Scientific supervisor:Doctor of Engineering, Full Professor Yu. K. Taranenko

Dnipropetrovsk 2014

Page 2: DIPLOMA WORK USE OF OPERATIONAL CALCULUS FOR MODELLING AND STUDYING ECONOMIC PROCESSES

THE PURPOSE

is to examine the system and explore dynamic development of the models of the economic objects through the operational calculus.

The novelty of the results

consists in improvement of the economic models, especially for decision-making due to forecasting methodology.

Page 3: DIPLOMA WORK USE OF OPERATIONAL CALCULUS FOR MODELLING AND STUDYING ECONOMIC PROCESSES

TASKS OF THE DIPLOMA RESEARCH

to analyze operational calculus for cyclic processes in the economy;

to create a predicting model using modern tools (software);

to justify solutions to management problems in real time;

to assess the models;

to use methods of operational calculus.

:

Page 4: DIPLOMA WORK USE OF OPERATIONAL CALCULUS FOR MODELLING AND STUDYING ECONOMIC PROCESSES

THE OBJECT OF THE INVESTIGATION

THE SUBJECT OF THE INVESTIGATION

is the complex tools of operational calculus and its form in computer programs.

is economic systems which have dynamic and cyclical nature of development at any levels.

Page 5: DIPLOMA WORK USE OF OPERATIONAL CALCULUS FOR MODELLING AND STUDYING ECONOMIC PROCESSES

THE MAIN SIMPLE UNITSA proportional unit

An accumulation unit,reversibly - a differentiating unit

A discrete delay unit

An inertial delay unit

A unit of the sum

Page 6: DIPLOMA WORK USE OF OPERATIONAL CALCULUS FOR MODELLING AND STUDYING ECONOMIC PROCESSES

STRUCTURAL TRANSFORMATION OF UNIT CONNECTIVITY

to analyse series connection to analyze parallel connections

to analyze feedback connection

Page 7: DIPLOMA WORK USE OF OPERATIONAL CALCULUS FOR MODELLING AND STUDYING ECONOMIC PROCESSES

THE MAJOR USED TRANSFORMATION INVESTIGATED

Page 8: DIPLOMA WORK USE OF OPERATIONAL CALCULUS FOR MODELLING AND STUDYING ECONOMIC PROCESSES

A SAMPLE OF THE TRACKING SYSTEM

Page 9: DIPLOMA WORK USE OF OPERATIONAL CALCULUS FOR MODELLING AND STUDYING ECONOMIC PROCESSES

MODIFIED DYNAMIC SIMULINK MODEL OF PREDICTION

Page 10: DIPLOMA WORK USE OF OPERATIONAL CALCULUS FOR MODELLING AND STUDYING ECONOMIC PROCESSES

PROPERTIES OF THE MODIFIED DYNAMIC SIMULINK MODEL OF PREDICTION

Additional parameters were added that are based on the theory of investigation of operational calculus.

The modified model is simple in use and based on the theory of the ecological and economic «Predator-Prey» model.  

Page 11: DIPLOMA WORK USE OF OPERATIONAL CALCULUS FOR MODELLING AND STUDYING ECONOMIC PROCESSES

SIGNAL

S OF

OUTPUT AND RESULT

th

is is

the e

colo

gic

al and

eco

nom

ic m

odel w

hen

it

is

stab

le

Page 12: DIPLOMA WORK USE OF OPERATIONAL CALCULUS FOR MODELLING AND STUDYING ECONOMIC PROCESSES

THE MAIN SOLVED TASKS OF THE MODEL

The created model can: show the cycle of the capital in time;

show the impact on the input of any transfer function;

identifying errors from reality;

show the dynamics generating an economic cycle.